List of top Questions asked in BITSAT

A clock pendulum made of invar has a period of $0.5 \, s$, at $20^{\circ}C$. If the clock is used in a climate where the temperature averages to $30^{\circ}C $, how much time does the clock lose in each oscillation? (For invar, $a = 9 \times 10^{-7} /^{\circ} C, g$ = constant)

A body of mass $5 \,kg$ makes an elastic collision with another body at rest and continues to move in the original direction after collision with a velocity equal to $\frac{1}{10}$ th of its original velocity. Then the mass of the second body is

An infinitely long straight conductor is bent into the shape as shown below. It carries a current of $I$ ampere and the radius of the circular loop is $R$ metre. Then, the magnitude of magnetic induction at the centre of the circular loop is -

$\cos \, A \, \cos \, 2A \, \cos \, 4A ... \cos \, 2^{n -1} A$ equals

For $| x | < 1$, the constant term in the expansion of $\frac{1}{x -1^2 x - 2}$ is

The roots of $ (x- a) (x - a-1) + (x - a -1) (x - a - 2) + (x - a) (x - a - 2) = 0 , a \in R$ are always

Let $f(x) = x^2 + ax + b,$ where $a, b \in R$. If $ f(x) = 0$ has all its roots imaginary, then the roots of $ f(x) + f' (x) + f" (x) = 0$ are

If one of the roots of $\begin{vmatrix} 3 &5 & x \\ 7 & x & 7 \\ x & 5 & 3 \end{vmatrix} = 0 $ is -10,then the other roots are

If $x, y, z$ are all positive and are the $p^{th}, q^{th}$ and $r^{th}$ terms of a geometric progression respectively, then the value of the determinant $\begin{vmatrix} \log x & p & 1 \\ \log y & q & 1 \\ \log z & r & 1 \end{vmatrix} = 0 $ equals

If \(\begin{vmatrix}1&-1&x\\1&x&1\\x&-1&1\end{vmatrix}\) has no inverse, then the real value of \(x\) is

The locus of $z$ satisfying the inequality $\frac{z + 2i}{2z + i} < 1$ , where $z = x + iy$, is

The period of $\sin^4 \, x + \cos^4 \, x$ is

$\frac{\cos \, x}{\cos \, x -2y} = \lambda \, \Rightarrow \, \tan \, x - y$ is equal to

Aluminium reacts with $NaOH$ and forms compound �$X$�. If the coordination number of aluminium in �$X$ � is $6$, the correct formula of $X$ is

How many '$mL$' of perhydrol is required to produce sufficient oxygen which can be used to completely convert $2L$ of $SO_2$ gas to $SO_3$ gas?

$1.5 \,g$ of $CdCl_2$ was found to contain $0.9 \,g$ of $Cd$. Calculate the atomic weight of $Cd$.

Aluminium reacts with $NaOH$ and forms compound '$X$'. If the coordination number of aluminium in '$X$' is $6$, the correct formula of $X$ is

pH of a buffer solution decreases by $0.02 \,$ units when $0.12\, g$ of acetic acid is added to $250\, mL$ of a buffer solution of acetic acid and potassium acetate at $ 27^{\circ}C$. The buffer capacity of the solution is

What are $X$ and $Y$ in the following reaction sequence? $C_2H_5OH \xrightarrow{Cl_2}(X) \xrightarrow{Cl_2} Y$.

What are $ABC$ in the following reactions ? (I) $(CH_2CO_2)_2Ca \xrightarrow{\Delta} A$ (II) $CH_3CO_2H \xrightarrow[\text{Red}]{HI} B$ (III) $2CH_3CO_2 \xrightarrow{P_4O_{10}} C$

If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are $a, b$ and $c$ respectively, the ratio between' the increase in lengths of brass and steel wires would be

In Gattermann reaction, a diazonium group is replaced by using $\underline{Y} \underline{X}$and $\underline{Y}$ are

The image of the point $(3, 2, 1)$ in the plane $2x-y+3z = 7$ is

The locus of centre of a circle which passes through the origin and cuts off a length of $4$ unit from the line $x = 3$ is

Two sources $A$ and $B$ are sending notes of frequency $680 \,Hz$. A listener moves from $A$ and $B$ with-a constant velocity $u$. If the speed of sound in air is $340 \, ms^{-1}$ what must be the value of u so that he hears $10$ beats per second?